Chapter 14.2, Problem 2PSA

To determine

To find the locus of the points that are $1$ cm from a $4$ cm long segment and $2$ cm from the midpoint of the segment.

Answer to Problem 2PSA

The locus of points that are $1$ cm from a $4$ cm long segment and $2$ cm from the midpoint of the segment.

Explanation of Solution

The following is thesketch of the midpoints of segments that are parallel to $\overline{TQ}$ and end on the sides of the rectangle.

  

The purple line is a $4$ cm long segment.

The green figure is and $1$ cm segment.

The orange circle is $2$ cm from the midpoint.

The locus is the intersection of the green and orange figure.

The locus of points that are $1$ cm from a $4$ cm long segment and $2$ cm from the midpoint of the segment.